Least Common Multiple of 7549/914, 7316/6732

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7549/914, 7316/6732 quickly i.e. 27614242 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7549/914, 7316/6732 is 27614242.

LCM(7549/914, 7316/6732) = 27614242

LCM of 7549/914, 7316/6732

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 7549/914,7316/6732

Given numbers are 7549/914,7316/6732

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 7549,7316

Least Common Multiple of Numerators i.e. LCM of 7549,7316 is 55228484.

GCF of Denominators means GCF of 914,6732 as per the given fractions.

GCF of 914,6732 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7549,7316

LCM of Fractions 7549/914,7316/6732 is 27614242

Given numbers has no common factors except 1. So, there LCM is their product i.e 55228484

Least Common Multiple of 7549,7316 with GCF Formula

Least Common Multiple of 7549,7316 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 7549,7316 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7549,7316) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(7549,7316) x common factors =1 x 1 = 1

LCM(7549,7316) = ( 7549 × 7316 ) / 1

LCM(7549,7316) = 55228484 / 1

LCM(7549,7316) = 55228484


Lets's calculate GCF of 914,6732

2 914, 6732
457, 3366

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 55228484/2

Therefore the LCM of Fractions 7549/914,7316/6732 is 27614242

Greatest Common Factor of 914,6732 By Matching Biggest Common Factor Method

Greatest Common Factor of 914,6732 By Matching Biggest Common Factor Method

Factors of 914

List of positive integer factors of 914 that divides 914 without a remainder.

1,2,457,914

Factors of 6732

List of positive integer factors of 6732 that divides 6732 without a remainder.

1,2,3,4,6,9,11,12,17,18,22,33,34,36,44,51,66,68,99,102,132,153,187,198,204,306,374,396,561,612,748,1122,1683,2244,3366,6732

Greatest Common Factor

We found the factors 914,6732 . The biggest common factor number is the GCF number.
So the greatest common factor 914,6732 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 7549/914, 7316/6732

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 7549/914, 7316/6732?

Answer: LCM of Numerators as per given numbers 7549/914, 7316/6732 is

LCM of Numerators i.e. for 7549,7316 is 55228484

GCF of denominators i.e. for 914,6732 is 2.

Thus, LCM of Fractions is 27614242.Finally, LCM of Fractions for 7549/914, 7316/6732 is 27614242.